特殊平行四边形学习
几何画板及绘图内容加载中,请稍等……
①本范例通过选择题和开放题演示特殊平行四边形(矩形、正方形、菱形、梯形)的识别与性质应用;②涉及核心概念:平行四边形、对角线、角度、边长关系;③构造摘要中用到了Point, Sequence, Translate, Polygon, Angle, Distance, Textfield, Segment, If, SpeechBubbleLeft, SelectedIndex, IndexOf, LaTeX等命令和对象进行图形绘制与交互;④适合小学高年级或初中一年级学生,用于几何概念理解和实践。
GeoGebra 命令及参数
Point(Line[A2, xAxis]) → A3Sequence(A3 + (m * (0.2, 0)), m, 10, 25) → bpointsTranslate(bpoints, Vector[(4 * UnitVector[v])]) → cpoints2Sequence(A4 + (m * (0.2, 0)), m, 10, 25) → bpoints4Point(bpoints) → B3Point(cpoints2) → C3Polygon(A3, B3, C3, D3) → v3, a3, b3, c3, d3Translate(bpoints4, (0.6, 4)) → cpoints4Point(cpoints4) → C4Point(bpoints4) → B4Sequence(A4 + ((m * 0.2), 4), m, -5, 3) → dpoints4Point(dpoints4) → D4Polygon(A4, B4, C4, D4) → v4, a4, b4, c4, d4Angle(v4) → σ, τ, υ, ϕSequence(A2 + ((m * 0.2), 4), m, -7, 3) → dpointsPoint(dpoints) → D2Sequence(A2 + ((m * 0.2), 4), m, 23, 35) → cpointsPoint(cpoints) → C2Polygon(A2, B2, C2, D2) → v2, l1_{2}, l1_{3}, l1_{4}, l1_{5}Angle(v2) → ι, κ, λ, μPolygon(A5, B5, C5, D5) → v5, a5, b5, c5, d5Distance(D5, a5) → fTextfield(input5) → Eingabefeld5Textfield(input6) → Eingabefeld6Polygon(A, B, C, D) → v1, a, b, c, dAngle(v1) → α, β, γ, δSequence(FB0 + (m * (0, absfby)), m, 0, 4) → fbpointsSegment(A, B) → a2Segment(B, C) → b2Segment(C, D) → c2Segment(A, D) → d2Angle(v1) → ε, ζ, η, θIf(step ≤ 4, Element[{E1, E2, E3, E4}, step], If[step ≟ 7, E5, E4]) → ESpeechBubbleLeft(I1, 6.5, 1.1) → Vieleck1SpeechBubbleLeft(I2, 11.1, 1.1) → Vieleck2SpeechBubbleLeft(I3, 10.9, 0.7) → Vieleck3SpeechBubbleLeft(I4, 12.27, 1.05) → Vieleck4Distance(C1, Line[A1, B1]) → eSpeechBubbleLeft(I5, 10.3, 2) → Vieleck5SpeechBubbleLeft(I6, 10.2, 1.6) → Vieleck6SpeechBubbleLeft(I7, 10.2, 1.6) → Vieleck7Angle(v3) → ν, ξ, ο, ρSpeechBubbleLeft(I8, 8, 1.1) → Vieleck8SpeechBubbleLeft(I9, 11.8, 1.6) → Vieleck9SpeechBubbleLeft(I10, 10.1, 1.9) → Vieleck10SelectedIndex(DropDown1) → input0SelectedIndex(DropDown2) → input00SpeechBubbleLeft(I11, 9.7, 0.6) → Vieleck11Polygon(A6b, B6, C6b, D6) → v6, v6_{2}, v6_{3}, v6_{4}, v6_{5}Polygon(A7b, B7b, C7b, D7b) → v7, a7b, b7b, c7b, d7bPolygon(A8b, B8b, C8b, D8) → v8, a8b, b8b, c8b, d8Angle(v6) → χ, ψ, ω, α_1Angle(v7) → β_1, γ_1, δ_1, ε_1Angle(v8) → ζ_1, η_1, θ_1, ι_1Angle(v5) → κ_1, λ_1, μ_1, ν_1If(step ≟ 2, 426, 510) → posBackIndexOf(C2, cpoints) → gLaTeX(g, true, true) → Text36If(κ / ° - floor(κ / °) < 0.5, floor(κ / °), ceil(κ / °)) → roundbeta1If(λ / ° - floor(λ / °) < 0.5, floor(λ / °), ceil(λ / °)) → roundgamma1If(μ / ° - floor(μ / °) < 0.5, floor(μ / °), ceil(μ / °)) → rounddelta1If(ι / ° - floor(ι / °) < 0.5, floor(ι / °), ceil(ι / °)) → roundalpha1If(σ / ° - floor(σ / °) < 0.5, floor(σ / °), ceil(σ / °)) → roundalpha2If(τ / ° - floor(τ / °) < 0.5, floor(τ / °), ceil(τ / °)) → roundbeta2If(υ / ° - floor(υ / °) < 0.5, floor(υ / °), ceil(υ / °)) → roundgamma2If(ϕ / ° - floor(ϕ / °) < 0.5, floor(ϕ / °), ceil(ϕ / °)) → rounddelta2
AI 绘图提示语参考
绘制一个平行四边形,然后依次绘制矩形、菱形、梯形。首先,通过点和线创建平行四边形的顶点,接着使用平移和序列命令生成其他形状的顶点。最后,通过角度和距离测量工具,验证每个形状的特性。
以上提示语为根据原始绘图命令整理而来,仅供参考。